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Finding the Fourth Proportional to 265,884.92, 367,100.85 and 204,522.14

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Solution

The fourth proportional to 265,884.92, 367,100.85 and 204,522.14 is: 282,378.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,884.92 : 367,100.85 = 204,522.14 : x
  2. Step 2: Convert to fraction form
    265,884.92/367,100.85 = 204,522.14/x
  3. Step 3: Cross multiply
    265,884.92x = 367,100.85 × 204,522.14
  4. Step 4: Simplify right side
    265,884.92x = 75,080,249,602.31
  5. Step 5: Solve for x
    x = 75,080,249,602.31/265,884.92
  6. Step 6: Final answer
    x = 282,378.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.